Least Common Multiple of 7036 and 7044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7036 and 7044 the smallest integer that is 12390396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7036 and 7044 is 12390396.

LCM(7036,7044) = 12390396

LCM of 7036 and 7044

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7036 and 7044

LCM of 7036 and 7044 is 12390396

Least common multiple can be found by multiplying the highest exponent prime factors of 7036 and 7044. First we will calculate the prime factors of 7036 and 7044.

Prime Factorization of 7036


2 7036
2 3518
1759 1759
1

Prime factors of 7036 are 2,1759. Prime factorization of 7036 in exponential form is:

7036 = 22×17591

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 7036 and 7044.

LCM(7036,7044) = 22×31×5871×17591
LCM(7036,7044) = 12390396

Factors of 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1, 2, 4, 1759, 3518, 7036

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044

Least Common Multiple of 7036 and 7044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7036 and 7044, than apply into the LCM equation.

GCF(7036,7044) = 4
LCM(7036,7044) = ( 7036 × 7044) / 4
LCM(7036,7044) = 49561584 / 4
LCM(7036,7044) = 12390396

Properties of LCM 7036 and 7044

(i) The LCM of 7044 and 7036 is associative

LCM of 7036 and 7044 = LCM of 7044 and 7036

Related Least Common Multiples of 7036

Related Least Common Multiples of 7044

Frequently Asked Questions on LCM of 7036 and 7044

1. What is the LCM of 7036 and 7044?

Answer: LCM of 7036 and 7044 is 12390396.

2. What are the Factors of 7036?

Answer: Factors of 7036 are 1, 2, 4, 1759, 3518, 7036. There are 6 integers that are factors of 7036. The greatest factor of 7036 is 7036.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. How to Find the LCM of 7036 and 7044?

Answer:

Least Common Multiple of 7036 and 7044 = 12390396

Step 1: Find the prime factorization of 7036

7036 = 2 x 2 x 1759

Step 2: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12390396 = 2 x 2 x 3 x 587 x 1759

Step 4: Therefore, the least common multiple of 7036 and 7044 is 12390396.